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Simplifying 5(3y + 2) = 70(y + 4) Reorder the terms: 5(2 + 3y) = 70(y + 4) (2 * 5 + 3y * 5) = 70(y + 4) (10 + 15y) = 70(y + 4) Reorder the terms: 10 + 15y = 70(4 + y) 10 + 15y = (4 * 70 + y * 70) 10 + 15y = (280 + 70y) Solving 10 + 15y = 280 + 70y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-70y' to each side of the equation. 10 + 15y + -70y = 280 + 70y + -70y Combine like terms: 15y + -70y = -55y 10 + -55y = 280 + 70y + -70y Combine like terms: 70y + -70y = 0 10 + -55y = 280 + 0 10 + -55y = 280 Add '-10' to each side of the equation. 10 + -10 + -55y = 280 + -10 Combine like terms: 10 + -10 = 0 0 + -55y = 280 + -10 -55y = 280 + -10 Combine like terms: 280 + -10 = 270 -55y = 270 Divide each side by '-55'. y = -4.909090909 Simplifying y = -4.909090909
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