Is only one side of the brain able to speak? Is the side of the brain that read the text internally screaming about the wrong explanation coming out of the mout

Is only one side of the brain able to speak? Is the side of the brain that read the text internally screaming about the wrong explanation coming out of the mouth? How did both sides of the body operate the limbs to close the window if only one side of the body knew it should close the window? I'd love to learn more about this.