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Simplifying -71 + 10y + 9 = 4(4y + -3) + -2 Reorder the terms: -71 + 9 + 10y = 4(4y + -3) + -2 Combine like terms: -71 + 9 = -62 -62 + 10y = 4(4y + -3) + -2 Reorder the terms: -62 + 10y = 4(-3 + 4y) + -2 -62 + 10y = (-3 * 4 + 4y * 4) + -2 -62 + 10y = (-12 + 16y) + -2 Reorder the terms: -62 + 10y = -12 + -2 + 16y Combine like terms: -12 + -2 = -14 -62 + 10y = -14 + 16y Solving -62 + 10y = -14 + 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. -62 + 10y + -16y = -14 + 16y + -16y Combine like terms: 10y + -16y = -6y -62 + -6y = -14 + 16y + -16y Combine like terms: 16y + -16y = 0 -62 + -6y = -14 + 0 -62 + -6y = -14 Add '62' to each side of the equation. -62 + 62 + -6y = -14 + 62 Combine like terms: -62 + 62 = 0 0 + -6y = -14 + 62 -6y = -14 + 62 Combine like terms: -14 + 62 = 48 -6y = 48 Divide each side by '-6'. y = -8 Simplifying y = -8
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