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Simplifying -3(2y + -5) + 6y = 5 + 4(4y + -1) Reorder the terms: -3(-5 + 2y) + 6y = 5 + 4(4y + -1) (-5 * -3 + 2y * -3) + 6y = 5 + 4(4y + -1) (15 + -6y) + 6y = 5 + 4(4y + -1) Combine like terms: -6y + 6y = 0 15 + 0 = 5 + 4(4y + -1) 15 = 5 + 4(4y + -1) Reorder the terms: 15 = 5 + 4(-1 + 4y) 15 = 5 + (-1 * 4 + 4y * 4) 15 = 5 + (-4 + 16y) Combine like terms: 5 + -4 = 1 15 = 1 + 16y Solving 15 = 1 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. 15 + -16y = 1 + 16y + -16y Combine like terms: 16y + -16y = 0 15 + -16y = 1 + 0 15 + -16y = 1 Add '-15' to each side of the equation. 15 + -15 + -16y = 1 + -15 Combine like terms: 15 + -15 = 0 0 + -16y = 1 + -15 -16y = 1 + -15 Combine like terms: 1 + -15 = -14 -16y = -14 Divide each side by '-16'. y = 0.875 Simplifying y = 0.875
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