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Simplifying 7 + 3(5y + -3) = -2(2y + -8) + 4y Reorder the terms: 7 + 3(-3 + 5y) = -2(2y + -8) + 4y 7 + (-3 * 3 + 5y * 3) = -2(2y + -8) + 4y 7 + (-9 + 15y) = -2(2y + -8) + 4y Combine like terms: 7 + -9 = -2 -2 + 15y = -2(2y + -8) + 4y Reorder the terms: -2 + 15y = -2(-8 + 2y) + 4y -2 + 15y = (-8 * -2 + 2y * -2) + 4y -2 + 15y = (16 + -4y) + 4y Combine like terms: -4y + 4y = 0 -2 + 15y = 16 + 0 -2 + 15y = 16 Solving -2 + 15y = 16 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 15y = 16 + 2 Combine like terms: -2 + 2 = 0 0 + 15y = 16 + 2 15y = 16 + 2 Combine like terms: 16 + 2 = 18 15y = 18 Divide each side by '15'. y = 1.2 Simplifying y = 1.2
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