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Simplifying 5(2) + -5(3y) + -9y = 4(3) + -4(2y) Multiply 5 * 2 10 + -5(3y) + -9y = 4(3) + -4(2y) Remove parenthesis around (3y) 10 + -5 * 3y + -9y = 4(3) + -4(2y) Multiply -5 * 3 10 + -15y + -9y = 4(3) + -4(2y) Combine like terms: -15y + -9y = -24y 10 + -24y = 4(3) + -4(2y) Multiply 4 * 3 10 + -24y = 12 + -4(2y) Remove parenthesis around (2y) 10 + -24y = 12 + -4 * 2y Multiply -4 * 2 10 + -24y = 12 + -8y Solving 10 + -24y = 12 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 10 + -24y + 8y = 12 + -8y + 8y Combine like terms: -24y + 8y = -16y 10 + -16y = 12 + -8y + 8y Combine like terms: -8y + 8y = 0 10 + -16y = 12 + 0 10 + -16y = 12 Add '-10' to each side of the equation. 10 + -10 + -16y = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -16y = 12 + -10 -16y = 12 + -10 Combine like terms: 12 + -10 = 2 -16y = 2 Divide each side by '-16'. y = -0.125 Simplifying y = -0.125
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