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Simplifying (3y + -4) + (12y + -8) = (17y + -5) + -1(13y + -4) Reorder the terms: (-4 + 3y) + (12y + -8) = (17y + -5) + -1(13y + -4) Remove parenthesis around (-4 + 3y) -4 + 3y + (12y + -8) = (17y + -5) + -1(13y + -4) Reorder the terms: -4 + 3y + (-8 + 12y) = (17y + -5) + -1(13y + -4) Remove parenthesis around (-8 + 12y) -4 + 3y + -8 + 12y = (17y + -5) + -1(13y + -4) Reorder the terms: -4 + -8 + 3y + 12y = (17y + -5) + -1(13y + -4) Combine like terms: -4 + -8 = -12 -12 + 3y + 12y = (17y + -5) + -1(13y + -4) Combine like terms: 3y + 12y = 15y -12 + 15y = (17y + -5) + -1(13y + -4) Reorder the terms: -12 + 15y = (-5 + 17y) + -1(13y + -4) Remove parenthesis around (-5 + 17y) -12 + 15y = -5 + 17y + -1(13y + -4) Reorder the terms: -12 + 15y = -5 + 17y + -1(-4 + 13y) -12 + 15y = -5 + 17y + (-4 * -1 + 13y * -1) -12 + 15y = -5 + 17y + (4 + -13y) Reorder the terms: -12 + 15y = -5 + 4 + 17y + -13y Combine like terms: -5 + 4 = -1 -12 + 15y = -1 + 17y + -13y Combine like terms: 17y + -13y = 4y -12 + 15y = -1 + 4y Solving -12 + 15y = -1 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -12 + 15y + -4y = -1 + 4y + -4y Combine like terms: 15y + -4y = 11y -12 + 11y = -1 + 4y + -4y Combine like terms: 4y + -4y = 0 -12 + 11y = -1 + 0 -12 + 11y = -1 Add '12' to each side of the equation. -12 + 12 + 11y = -1 + 12 Combine like terms: -12 + 12 = 0 0 + 11y = -1 + 12 11y = -1 + 12 Combine like terms: -1 + 12 = 11 11y = 11 Divide each side by '11'. y = 1 Simplifying y = 1
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