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Simplifying -5 + -1(15y + -1) = 2(7y + -16y) + -1y Reorder the terms: -5 + -1(-1 + 15y) = 2(7y + -16y) + -1y -5 + (-1 * -1 + 15y * -1) = 2(7y + -16y) + -1y -5 + (1 + -15y) = 2(7y + -16y) + -1y Combine like terms: -5 + 1 = -4 -4 + -15y = 2(7y + -16y) + -1y Combine like terms: 7y + -16y = -9y -4 + -15y = 2(-9y) + -1y Remove parenthesis around (-9y) -4 + -15y = 2 * -9y + -1y Multiply 2 * -9 -4 + -15y = -18y + -1y Combine like terms: -18y + -1y = -19y -4 + -15y = -19y Solving -4 + -15y = -19y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '19y' to each side of the equation. -4 + -15y + 19y = -19y + 19y Combine like terms: -15y + 19y = 4y -4 + 4y = -19y + 19y Combine like terms: -19y + 19y = 0 -4 + 4y = 0 Add '4' to each side of the equation. -4 + 4 + 4y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 4y = 0 + 4 4y = 0 + 4 Combine like terms: 0 + 4 = 4 4y = 4 Divide each side by '4'. y = 1 Simplifying y = 1
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