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Simplifying -2(4y + -7) + 4y = 5 + 3(4y + -3) Reorder the terms: -2(-7 + 4y) + 4y = 5 + 3(4y + -3) (-7 * -2 + 4y * -2) + 4y = 5 + 3(4y + -3) (14 + -8y) + 4y = 5 + 3(4y + -3) Combine like terms: -8y + 4y = -4y 14 + -4y = 5 + 3(4y + -3) Reorder the terms: 14 + -4y = 5 + 3(-3 + 4y) 14 + -4y = 5 + (-3 * 3 + 4y * 3) 14 + -4y = 5 + (-9 + 12y) Combine like terms: 5 + -9 = -4 14 + -4y = -4 + 12y Solving 14 + -4y = -4 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 14 + -4y + -12y = -4 + 12y + -12y Combine like terms: -4y + -12y = -16y 14 + -16y = -4 + 12y + -12y Combine like terms: 12y + -12y = 0 14 + -16y = -4 + 0 14 + -16y = -4 Add '-14' to each side of the equation. 14 + -14 + -16y = -4 + -14 Combine like terms: 14 + -14 = 0 0 + -16y = -4 + -14 -16y = -4 + -14 Combine like terms: -4 + -14 = -18 -16y = -18 Divide each side by '-16'. y = 1.125 Simplifying y = 1.125
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